GCD of 684, 722, 656, 923 Calculator

Given Input numbers are 684, 722, 656, 923

In the factoring method, we have to find the divisors of all numbers

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923

GCD of numbers is the greatest common divisor

So, the GCD (684, 722, 656, 923) = 1.

Given numbers are 684, 722, 656, 923

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 722 are 2 x 19 x 19

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 923 are 13 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 684, 722, 656, 923

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(684, 722) = 12996

GCD(684, 722) = ( 684 x 722 ) / 12996

= 684 / 722

= 684

Step2:

LCM(38, 656) = 12464

GCD(38, 656) = ( 38 x 656 ) / 12464

= 38 / 656

= 38

Step3:

LCM(2, 923) = 1846

GCD(2, 923) = ( 2 x 923 ) / 1846

= 2 / 923

= 2

So, Greatest Common Divisor of 684, 722, 656, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 965, 850, 701
• GCD of 913, 403, 497, 184
• GCD of 692, 801, 136, 781
• GCD of 566, 315, 241, 250
• GCD of 593, 691, 811, 797

Given numbers are 684, 722, 656, 923
The greatest common divisor of numbers 684, 722, 656, 923 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 722, 656, 923 is 1.

1. What is the GCD of 684, 722, 656, 923?

GCD of given numbers 684, 722, 656, 923 is 1

2. How to calculate the greatest common divisor of 684, 722, 656, 923?

We can find the highest common divisor of 684, 722, 656, 923 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 684, 722, 656, 923 i.e 1.

3. How can I use the GCD of 684, 722, 656, 923Calculator?

Out the numbers 684, 722, 656, 923 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.